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Finding the Fourth Proportional to 411,572.93, 620,444.21 and 384,139.76

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Solution

The fourth proportional to 411,572.93, 620,444.21 and 384,139.76 is: 579,088.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,572.93 : 620,444.21 = 384,139.76 : x
  2. Step 2: Convert to fraction form
    411,572.93/620,444.21 = 384,139.76/x
  3. Step 3: Cross multiply
    411,572.93x = 620,444.21 × 384,139.76
  4. Step 4: Simplify right side
    411,572.93x = 238,337,284,899.87
  5. Step 5: Solve for x
    x = 238,337,284,899.87/411,572.93
  6. Step 6: Final answer
    x = 579,088.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.